Applied Scientist (Optimization and Decision Systems) - Colorado Springs, CO

Davidson Technologies; Colorado Springs (CO); On-site; USD 120,000 - 180,000; Full time

Job summary

Davidson Technologies, Inc. in Colorado Springs is seeking an Applied Scientist to develop algorithms and computational solutions for complex problems in optimization, uncertainty, simulation, and sequential decision-making.

This role blends applied mathematics, algorithm design, and experimental analysis, requiring translation of ambiguous requirements into practical models and evaluating methods for real-world constraints. Strong Python and C++ skills are essential.

Qualifications

• 5+ years of applied math, optimization, or related experience.
• Proven ability to translate complex problems into practical models.
• Proficient programming in Python and C++.
• Experience with probabilistic methods, simulations, or sequential decision-making.
• Strong communication of technical results and trade-offs.

Responsibilities

• Formulate problems using mathematical and computational models.
• Develop and adapt algorithms from optimization, statistics, and ML.
• Improve decisions by exploiting information over time.
• Design experiments, analyze results, and guide improvements.
• Implement algorithms in Python and C++, focusing on maintainable software.
• Develop and optimize simulations and real-time decision systems under uncertainty.
• Collaborate with the technical lead on problem formulation and direction.

Skills

Applied math

Algorithm design

Python

C++

Optimization

Reinforcement learning

Git

Communication

Education

Bachelor's in math/CS

Master's/PhD preferred

Tools

Git

GitHub

CI/CD

Job description

Davidson is distinguished in the aerospace and missile defense industry, in part, because of its excellence in hiring exceptional experts, engineers and software developers dedicated to delivering advanced, intelligent technology solutions in defense of our nation.

Davison is seeking an Applied Scientist in Colorado Springs to develop algorithms and computational solutions for complex real-world problems involving optimization, uncertainty, simulation, and sequential decision-making.

This role combines applied mathematics, algorithm development, programming, and experimental analysis. You will work on problems that require translating ambiguous requirements into practical models, evaluating alternative approaches, and adapting methods to fit real-world constraints.

Working closely with the technical lead, you will have the autonomy to investigate problems, challenge assumptions, propose improvements, and implement solutions. Your work will span improving existing applications, developing simulation-based optimization methods, and advancing real-time decision systems that use information as it becomes available.

Job Responsibilities

• Formulate complex problems using appropriate mathematical and computational models, making and evaluating assumptions where necessary.
• Develop, adapt, and combine algorithms from optimization, probability, statistics, machine learning, and sequential decision-making.
• Identify opportunities to improve decisions and computational efficiency by exploiting available information and information revealed over time.
• Design computational experiments, analyze results, and use evidence to evaluate approaches and guide improvements.
• Implement algorithms and contribute to maintainable software in Python and C++, including improving existing applications, testing, and code quality.
• Develop and optimize discrete-event simulations and contribute to real-time systems for sequential decision-making under uncertainty.
• Collaborate with the technical lead to assess existing approaches, identify limitations, and develop practical alternatives.

Job Requirements

• Bachelor's degree in mathematics, operations research, statistics, computer science, engineering, or a related field, with 5+ years of relevant experience; or a Master's or PhD in a related field with 3+ years of relevant experience.
• Demonstrated experience applying quantitative, statistical, or algorithmic methods to complex real-world problems.
• Practical programming ability in Python and C++.
• Experience applying relevant methods such as optimization, probability, statistics, simulation, stochastic optimization, reinforcement learning, bandit algorithms, or active learning. Candidates need experience in some relevant areas, not all.
• Ability to critically evaluate assumptions and approaches, reason through ambiguity, and develop and test practical solutions.
• Familiarity with Git and GitHub or comparable version-control tools.
• Ability to communicate technical reasoning, results, and trade-offs clearly.

Desired (not Required) Competencies

• Experience with any of the following: sequential decision-making, reinforcement learning, stochastic optimization, bandit algorithms, or active learning.
• Experience with simulation-based optimization.
• Familiarity with supervised and unsupervised learning.
• Experience with scientific computing, simulation, or computational experimentation.
• Experience improving software from prototype to maintainable application.
• Familiarity with automated testing or CI/CD practices.
• Graduate-level study or research in a relevant quantitative or computational discipline.

Relevant experience may come from professional work, research, graduate projects, or other substantial technical projects. Candidates are not expected to have expertise in every listed method.

Clearance

Ability to obtain a DoD secret clearance

The Opportunity

This is a self-directed technical role for someone who enjoys applying their knowledge to interesting, open-ended problems. You will have room to explore approaches, question assumptions, and implement improvements while collaborating with the technical lead on problem formulation and overall direction.

The emphasis is on sound technical reasoning, practical algorithm development, and evidence-based problem-solving-not on any single academic discipline, algorithm, or software framework.